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1 year ago

Question 3

Mathematics

1 answer:

tino4ka555 [31]1 year ago

7 0

3. 16 months
60x=947
x=15.78333… = 16 months

4. 46 months
400x=18,091
x=45.2275 = 46

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(B) 0.2398

(C) 0.0020

Step-by-step explanation:

Given,

Total songs = 15,

Liked songs = 6,

So, not liked songs = 15 - 6 = 9

If any 5 songs are played,

Then the total number of ways = $^{15}C_5$

(A) Number of ways of choosing 2 liked songs = $^6C_2\times ^9C_3$

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$\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus, the probability of choosing 3 females and 2 males = $\frac{ ^6C_2\times ^9C_3}{^{15}C_5}$

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= 0.4196

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(B)

The probability of choosing 3 liked songs = $\frac{ ^6C_3\times ^9C_2}{^{15}C_5}$

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= 0.2398

(C)

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$=\frac{\frac{6!}{5!1!}}{\frac{15!}{5!10!}}$

≈ 0.0020

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3 years ago